The 6th International conference
NONLINEAR ANALYSIS AND EXTREMAL PROBLEMS
June 25-30, 2018
The goal of the conference is to share recent results and techniques in various areas of modern nonlinear analysis, expose young researchers to some fast-paced topics in the field, and allow them to present their own research. To that end, advanced lecture courses of invited speakers as well as short talks of other participants are planned. Main topics of the conference include:
- Nonlinear analysis and its applications
- Dynamical systems
- Partial differential equations
- Calculus of variations and mathematical control theory
The conference will take place at Matrosov Institute for System Dynamics and Control Theory of SB RAS, 134 Lermontov St, Irkutsk, Russia.
UNIVERSITY OF MICHIGAN,
Implicit Functions, Metric Regularity, and Applications to Optimization and Control
The classical inverse/implicit function theorems revolve around solving an equation in terms of a parameter and tell us when the solution mapping associated with this equation is a differentiable function. Later it was shown that the differentiability can be can put aside obtaining that the solution mapping is just Lipschitz continuous. More recently, these results have been broadly extended and successfully applied to optimization and optimal control in order to obtain error estimates and establish convergence of algorithms.
UNIVERSITÀ DEGLI STUDI DI PADOVA,
On dynamics and optimal control of Moreau’s sweeping process
The course is devoted to optimal control of Moreau's sweeping process. This is a differential inclusion of dissipative type that occurs in the modeling of several phenomena, including contact mechanics, nonsmooth electric circuits, and hysteresis. We describe some recent results concerning the Hamilton-Jacobi characterization of the value function and necessary optimality conditions.
MOSCOW STATE UNIVERSITY,
Geometry and Topology of Spaces of Measures
The lecture course reviews the modern theory of the weak convergence of measures on metric and topological spaces. An emphasis is made on results deeply related to nonlinear analysis, partial differential equations, and extremal problems.
Pham Quang Cuong
NANYANG TECHNOLOGICAL UNIVERSITY,
Optimal control and robot motion planning
Robot motion planning consists in finding a time series of successive joint angles that allows moving a robot from a starting configuration towards a goal configuration, in order to achieve a task, such as grabbing an object from a conveyor belt and placing it on a shelf. In this series of talks, I will survey the main historical developments in the field, with special emphasis on the connection with optimal control theory, as well as real-world industrial applications.
The Organizing Committee is planning to publish the Conference abstracts. Extended versions of selected papers will be submitted for publication in a special issue of a scientific journal indexed in Scopus (to be announced later).
Matrosov Institute for System Dynamics and Control Theory SB RAS
Sobolev Institute of Mathematics SB RAS
Krasovskii Institute of Mathematics and Mechanics UB RAS
|Alexander Tolstonogov (Russia)||Gennadii Demidenko (Russia)||Nikolai Lukoyanov (Russia)|
|Zvi Artstein (Israel)||Ivan Finogenko (Russia)||Alla Shcheglova (Russia)|
|Alberto Bressan (USA)||Alexander Ioffe (Israel)||Nina Subbotina (Russia)|
|Arrigo Cellina (Italy)||Alexander Kazakov (Russia)||Vladimir Tikhomirov (Russia)|
|Alexander Chentsov (Russia)||Pavel Krejčí (Czech Republic)||Vladimir Ushakov (Russia)|
|Vladimir Dykhta (chairman)||Pavel Petrenko||Alexey Kumachev|
|Nikolay Pogodaev (secretary)||Stepan Sorokin||Olga Samsonyuk|
|Maxim Staritsyn||Elena Chistyakova||Alexander Stolbov|
|Anna Lempert||Evgeniya Finkelstein||Nadezhda Maltugueva|
|Taras Madzhara||Vsevolod Voronov||Andrey Mikhailov|
VENUE AND ACCOMODATION
The conference will take place at Matrosov Institute for System Dynamics and Control Theory of SB RAS, 134 Lermontov St, Irkustk, Russia.
Irkutsk is one of the oldest cities in Eastern Siberia. It is located in the vicinity of the famous Lake Baikal, the largest freshwater reservoir in the world and the world's deepest lake, offering a plenty of tourist attractions.
The Conference participants are welcome to take part in a one-day trip to Lake Baikal. The trip assumes an extra fee to be announced later.